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Motivic integration and its interactions with model theory and non-Archimedean geometry. Volume 1 /
"The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles t...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York, NY :
Cambridge University Press,
2011.
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| Colección: | London Mathematical Society lecture note series ;
383. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Machine generated contents note: 1. Introduction Raf Cluckers, Johannes Nicaise and Julien Sebag; 2. Introduction to the model theory of valued fields Zoe; Chatzidakis; 3. On the definition of rigid analytic spaces Siegfried Bosch; 4. Topological rings in rigid geometry Fumiharu Kato; 5. The Grothendieck ring of varieties Johannes Nicaise and Julien Sebag; 6. A short course on geometric motivic integration Manuel Blickle; 7. Motivic invariants of rigid varieties and applications to complex singularities Johannes Nicaise and Julien Sebag; 8. Motivic integration in mixed characteristic with bounded ramification: a summary Raf Cluckers and François Loeser.
- Introductory notes on the model theory of valued fields / Zoé Chatzidakis
- On the definition of rigid analytic spaces / Siegfried Bosch
- Topological rings in rigid geometry / Fumiharu Kato
- The Grothendieck ring of varieties / Johannes Nicaise and Julien Sebag
- A short course on geometric motivic integration / Manuel Blickle
- Motivic invariants of rigid varieties and applications to complex singularities / Johannes Nicaise and Julien Sebag
- Motivic integration in mixed characteristic with bounded ramification : a summary / Raf Cluckers and François Loeser.